Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses

被引：25

作者：

Malik, Muslim ^{[1
]}

Dhayal, Rajesh ^{[1
]}

Abbas, Syed ^{[1
]}

Kumar, Avadhesh ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, HP, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 01期

关键词：

Controllability; Non-autonomous differential system; Non-instantaneous impulses; Rothe's fixed point theorem; EXISTENCE; EQUATIONS;

D O I：

10.1007/s13398-017-0454-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we applied the Rothe's fixed point theorem to study the controllability of non-autonomous nonlinear differential system with non-instantaneous impulses in the space Rn. Also, we established the sufficient conditions for the controllability of the integro-differential equation as well as nonlocal problem. Finally, we have given an example to illustrate the application of these proposed results.

引用

页码：103 / 118

页数：16

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